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Inference about hill stations and amenities: from 'All hill stations have a sun-set point' and 'X is a hill station', determine which conclusions follow (X has a sun-set point; non–hill stations lack sun-set points)

Difficulty: Easy

Correct Answer: Only conclusion I follows

Explanation:


Given data

  • Premise 1: All hill stations ⟶ have a sun-set point.
  • Premise 2: X is a hill station.
  • Conclusions:
    • I: X has a sun-set point.
    • II: Places other than hill stations do not have sun-set points.


Concept/Approach (why this method)

Apply universal instantiation for X; avoid adding unstated exclusivity ('only hill stations have...').


Step-by-Step calculation / logic
1) From Premise 1, any hill station has a sun-set point; since X is one, X has it ⇒ I true.2) Premise 1 does not say non–hill stations lack it; II is an unwarranted converse ⇒ false.


Verification/Alternative

Counterexample to II: A non–hill station city could also have a sun-set viewpoint; premises don’t forbid it.


Common pitfalls

  • Reading 'All hill stations have P' as 'Only hill stations have P'.


Final Answer
Only conclusion I follows.

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